Number and relation

Sphere

σφαῖρα

sphaira

Sphaira is a sphere, occurring in geometry and in accounts of the heavens.

From the book

Stobaeus, Volume I

John Stobaeus · Diotimos Editions · 2026

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Orientation

At a Glance

  • The wordSphaira is a sphere, occurring in geometry and in accounts of the heavens.
  • In StobaeusThe arithmetic excerpt places bodies within a sphere and names a difficult fifth “vessel” of the sphere.
  • In this edition“Sphere” is appropriate in both settings, with the surrounding explanation determining whether a body, region, or form is intended.
  • A place to beginA cosmic sphere contains the named elemental bodies.
English renderings
sphere; spherical body

Meaning

Sphaira is a sphere, occurring in geometry and in accounts of the heavens. Geometrical sphere and cosmic sphere must be distinguished by context.

Use in the book

The arithmetic excerpt places bodies within a sphere and names a difficult fifth “vessel” of the sphere. A clearer epistemological passage treats sphere itself as an intelligible form alongside circle and triangle. One use organizes the cosmos spatially; the other concerns the kind of object known.

Places to read

  1. Arith.3dA cosmic sphere contains the named elemental bodies.
  2. I.48.6.7Sphere itself is classified with intelligible geometrical forms.

Translation in this edition

“Sphere” is appropriate in both settings, with the surrounding explanation determining whether a body, region, or form is intended.

Source note

Wachsmuth, volume I, printed pp. 18, 316–317. The “vessel of the sphere” in Arith.3d is textually difficult and does not securely identify the fifth body.